{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c982abca",
   "metadata": {},
   "source": [
    "# Interpretability 3: KAN Compiler"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6b9ec6c4",
   "metadata": {},
   "source": [
    "We have shown in many examples how to extract symbolic formulas from KANs. Now we want to consider the reverse task: compiling a symbolic formula into KANs. This might be needed for many reasons. One use case is that we have prior knowledge which is the approximate ground truth (empirical/constitutive laws etc.) and we want to build this knowledge into neural networks and only fine tune the network to real data."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8f94f0f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "cuda\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan.compiler import kanpiler\n",
    "from sympy import *\n",
    "from kan.utils import create_dataset\n",
    "import torch\n",
    "\n",
    "device = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
    "print(device)\n",
    "\n",
    "input_variables = x,y = symbols('x y')\n",
    "expr = exp(sin(pi*x)+y**2)\n",
    "\n",
    "model = kanpiler(input_variables, expr).to(device)\n",
    "\n",
    "f = lambda x: torch.exp(torch.sin(torch.pi*x[:,0]) + x[:,1]**2)\n",
    "dataset = create_dataset(f, n_var=2, device=device)\n",
    "model.get_act(dataset)\n",
    "\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "535c253f",
   "metadata": {},
   "source": [
    "if you want more complicated formulas, you can load in an equation in the Feynman dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e9cf1b61",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x400 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from kan.feynman import get_feynman_dataset\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "problem_id = 36 # problem_id in 1-120\n",
    "input_variables, expr, f, ranges = get_feynman_dataset(problem_id)\n",
    "n_var = len(input_variables)\n",
    "model = kanpiler(input_variables, expr)\n",
    "\n",
    "dataset = create_dataset(f, n_var=n_var, ranges=ranges)\n",
    "model.get_act(dataset)\n",
    "#model.plot(in_vars=input_variables, out_vars=[expr], beta=10000, title='P{}'.format(problem_id))\n",
    "model.plot(in_vars=input_variables, out_vars=[symbols('omega')], beta=10000)\n",
    "#plt.savefig('./fig1.pdf', bbox_inches='tight', dpi=200)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d1db913e",
   "metadata": {},
   "source": [
    "We can check that the model indeed achieves zero loss (near machine precision) on the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "910c99a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tensor(1.5383e-15, grad_fn=<MeanBackward0>)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.mean((model(dataset['train_input'])-dataset['train_label'])**2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35c347d2",
   "metadata": {},
   "source": [
    "Assume we have a dataset for which the symbolic formula is only an approximate ground truth, we want to train on the real data to fine tune the model. The current model has the symbolic front turned on and the spline front turned off. So only the affine parameters in the symbolic equations are trainable. Depending on how much expressive power you would like, you may need:\n",
    "\n",
    "* If you want to keep the symbolic functions, but just train the affine parameters, no need to do anything.\n",
    "* If you want to the functions to be trainable, call model.perturb(). If you want only the currently active functions to be trainable while the currently dead functions to remain dead, use mode='minimal'. Otherwise if you want to allow the currently dead functions to be active, use mode = 'all' (by default).\n",
    "* If you think the ground truth should be more complicated than the current network, you can expand it first using expand_width and/or expand_depth, and then use model.perturb().\n",
    "\n",
    "In the following, we present the most complicated case where you want to expand the network first."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63af424e",
   "metadata": {},
   "source": [
    "step 1: expand depth, add an extra linear function in the end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "381b8a03",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 38 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_depth()\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27a934fe",
   "metadata": {},
   "source": [
    "step 2: add two addition nodes in layer 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5c5f92c9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 52 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_width(1, 2)\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3459fc85",
   "metadata": {},
   "source": [
    "step 3: add two multiplication nodes in layer 2, with arity 2 and 3."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ec1bfb11",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 86 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.expand_width(2, 2, sum_bool=False, mult_arity=[2,3])\n",
    "model.get_act(dataset)\n",
    "model.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "038ea175",
   "metadata": {},
   "source": [
    "step 4: now we perturb all edges (mode='minimal' only perturb the currently active edges, mode='all' perturbs all neurons)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "45c8e738",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 86 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.perturb(mag=0.1, mode='all')\n",
    "model.get_act(dataset)\n",
    "model.plot(metric='forward_n')\n",
    "# purple means both symbolic front (red) and spline front (black) are active"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6feae91b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x600 with 86 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(beta=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "eabf7aa3",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
